web sites

1A websites



Least common multiple, greatest common divisor

http://www.mathsisfun.com/definitions/least-common-multiple.html

http://www.mathsisfun.com/greatest-common-factor.html



Fractions to add and express as the quotient of two relatively prime integers

http://www.mathsisfun.com/definitions/relatively-prime.html





Decimals, repeating decimals

http://wiki.answers.com/Q/How_do_you_convert_a_repeating_decimal_into_a_fraction





Percentage, interest, and discount





Complex fractions and continued fractions

http://www.wisc-online.com/objects/ViewObject.aspx?ID=TMH5005



http://www.jcu.edu/math/Vignettes/continued.htm



Number bases; change of base

http://www3.wittenberg.edu/bshelburne/Comp150Fa08/NumberSystemsAndBaseConversions.pdf

1B websites



Angles formed by transversals cutting parallel lines

http://www.augustatech.edu/math/molik/typesrelangles.pdf



Complementary, supplementary, and vertical angles

http://www.algebralab.org/lessons/lesson.aspx?file=Geometry_AnglesComplementarySupplementaryVertical.xml



Interior and exterior angles for triangles and polygons

http://www.mathopenref.com/triangleextangle.html

http://www.mathsrevision.net/gcse/pages.php?page=17



Properties of isosceles and equilateral triangles

http://www.purplemathjimloy.com/modules/sqrquadgeometry/iso.htm

http://cnx.org/content/m18217/latest/http://www.mathopenref.com/equilateral.html



The Theorem of Pythagoras; familiar Pythagorean triples

http://www.mathsisfun.com/pythagoras.html

http://www.tsm-resources.com/alists/trip.html





Relationships in 30°-60°-90° and 45°-45°-90° triangles

http://www.tpubthemathpage.com/math1/17faTrig/30-60-90-triangle.htm

http://www.onlinemathlearning.com/45-45-90-right-triangle.html

1D websites

Solution of quadratic equations by factoring, by completing the square, by formula

http://www.purplemath.com/modules/sqrquad.htm

http://www.youtube.com/watch?v=xGOQYTo9AKY



Complex roots of quadratic equations; the discriminant and the character of the roots

http://www.regentsprep.org/Regents/mathb/e/quadcomlesson.htm

http://www.mathwords.com/d/discriminant_quadratic.htm



Relations between roots and coefficients

http://www.tutorvista.com/search/relation-of-roots-of-coefficient-of-quadratic-equation

http://cs.jsu.edu/~leathrum/Mathlets/polyroots.html#applettop



Synthetic Division

Function notation

2A websites

 Solving numeric equations

(perhaps involving a second degree term which drops out)



 Solving literal equations

http://www.purplemath.com/modules/solvelit.htm

http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_FunctionsRelationsLiteralEquations.xml

http://math.whatcom.ctc.edu/downloads/Literal%20Equations.pdf

http://users.bloomfield.edu/department/tutorial/ACF_94/Documents/Class_Notes/LINEAR_EQUATIONS/SOLVE_LIT

ERAL_EQUATIONS.doc



 Story problems leading to linear equations in one variable

http://www.cut-the-knot.org/arithmetic/WProblem.shtml

http://www.kwiznet.com/p/takeQuiz.php?ChapterID=10471&CurriculumID=40&Num=1.19





http://www.purplemath.com/modules/ineqgrph.htm

http://www.purplemath.com/modules/syslneq.htm

2B Familiar Geometric Figures, Congruence and Similarity

 Medians, angle bisectors, and altitudes

http://www.cliffsnotes.com/WileyCDA/CliffsReviewTopic/Altitudes-Medians-and-Angle-Bisectors.topicArticleId-

18851,articleId-18787.html



 Ceva’s Theorem

http://www.cut-the-knot.org/Generalization/ceva.shtml



 Stewart’s Theorem

http://planetmath.org/encyclopedia/StewartsTheorem.html

http://www.youtube.com/watch?v=cRebl8I0lKk (YouTube explanation)



 Area of a triangle, including Hero’s Formula

http://www.clarku.edu/~djoyce/trig/area.html



 Triangular prisms (including volume and surface area)

http://www.teacherschoice.com.au/Maths_Library/Area%20and%20SA/area_9.htm

http://staff.argyll.epsb.ca/jreed/math9/strand3/3107.htm



 Triangular pyramids (including volume and surface area)

http://www.mathsisfun.com/geometry/pyramids.html

http://staff.argyll.epsb.ca/jreed/math9/strand3/3107.htm

2C Trigonometry

 Functions of sums of angles and sums of functions of angles

http://www.intmath.com/analytic-trigonometry/2-sum-difference-angles.php



 Half and double angle formulas

http://www.youtube.com/watch?v=mP6wujhQ8js



 Reduction formulas

http://www.bymath.com/studyguide/tri/sec/tri7.htm



 (Not requited: formulas for sin A + sin B, etc.)

2D Analytic Geometry of Straight Lines and Circles

http://www.cut-the-knot.org/WhatIs/WhatIsAnalyticGeometry.shtml



 Slope, families of parallel, perpendicular, or coincident lines

http://www.algebralab.org/lessons/lesson.aspx?file=geometry_coordparallelperpendicular.xml



 Point-slope, slope-intercept, intercept, normal forms of the straight line



http://www.purplemath.com/modules/strtlneq.htm

http://www.purplemath.com/modules/strtlneq2.htm

http://www.mathopenref.com/coordequationps.html





 Intersections (solution of simultaneous systems)

http://www.mathsnet.net/dynamic/cindy/exploration_2.html

http://mathworld.wolfram.com/Circle-LineIntersection.html

3A Systems of Linear Equations in Two (or on occasion three) Variables



 Numeric and literal systems

http://members.tripod.com/numeric_systems/

http://www.roman-britain.org/numerals.htm

 Relation to graphical procedures

 Word problems leading to such systems

 Systems of inequalities used to define a region in the plane

http://hotmath.com/help/gt/genericalg1/section_5_4.html

http://education.yahoo.com/homework_help/math_help/problem_list?id=minialg1gt_4_1

http://74.125.95.132/search?q=cache:4PSwJUkCBBoJ:www.classjump.com/kingalgbraii/documents/alg2ch3sect3ext.ppt

+Systems+of+inequalities+define+a+region+in+the+plane&cd=10&hl=en&ct=clnk&gl=us





http://www.purplemath.com/modules/determs.htm

http://home.scarlet.be/~ping1339/determ.htm

http://www.youtube.com/watch?v=I9mXoN8HG7M

3B Quadrilaterals and Polygons

 Special quadrilaterals and regular polygons (including area formulas)

http://www.mathsisfun.com/quadrilaterals.html

http://www.math.com/school/subject3/lessons/S3U2L3DP.html

http://www.coolmath.com/reference/polygons-04-quadrilaterals.html

http://www.mathsteacher.com.au/year8/ch09_geometry/07_quad/quad.htm



 Intersecting diagonals

http://illuminations.nctm.org/ActivityDetail.aspx?ID=148



 Ptolemy's Theorem

http://www.mlahanas.de/Greeks/PtolemyMath.htm

http://planetmath.org/encyclopedia/PtolemysTheorem.html



 Polygonal prisms and pyramids (including volume and surface area)

http://staff.argyll.epsb.ca/jreed/math9/strand3/3107.htm

3C Trigonometry



http://www.utdallas.edu/dept/abp/PDF_Files/Precalculus_Folder/LawofSinesandCosines.pdf

http://www.youtube.com/watch?v=4JAYejt1FWU



 Inverse functions and their graphs

http://www.youtube.com/watch?v=sESSCAkB2Yg

http://www.jamesrahn.com/PreCalculus/inverse_trigonometric_functions.htm



 Solving trigonometric equations

http://www.sosmath.com/algebra/solve/solve0/solvtrig.html

http://www.youtube.com/watch?v=IE0FxGegdMg





http://www.mathamazement.com/Lessons/Pre-Calculus/06_Additional-Topics-in-Trigonometry/de-moivres-

theorem.html

http://www.youtube.com/watch?v=NrwWv9JHdI4&NR=1&feature=fvwp

3D Exponents and Logarithms



http://www.purplemath.com/modules/exponent5.htm

http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut5_ratexp.htm

http://www.tpub.com/math1/8c.htm

http://www.purplemath.com/modules/exponent2.htm

http://www.themathpage.com/Alg/negative-exponents.htm



 Simplifying expressions involving radicals

http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_radical_simplify.xml

http://hotmath.com/help/gt/genericalg1/section_8_1.html





http://www.sosmath.com/algebra/solve/solve0/solve0.html

http://www.uncwil.edu/courses/mat111hb/Izs/asolve/asolve.html



 Use of logarithms; identities involving logarithms

http://people.hofstra.edu/Stefan_Waner/Realworld/calctopic1/logs.html



 Solving logarithmic equations

http://www.sosmath.com/algebra/logs/log4/log47/log47.html

http://www.purplemath.com/modules/solvelog.htm

http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_LogarithmsSolving.xml



 Relationships between logarithms to different bases

http://answers.yahoo.com/question/index?qid=20080507214250AADI9d6

http://oakroadsystems.com/math/loglaws.htm

http://www.answers.com/topic/logarithm

4A Algebraic Manipulation

- y3)

http://www.purplemath.com/modules/specfact2.htm

http://www.youtube.com/watch?v=TEtgW5DZ8KA

http://www.youtube.com/watch?v=-hiGJwMNNsM&feature=related







http://www.youtube.com/watch?v=FZdt73khrxA

http://www.youtube.com/watch?v=hVIol-6vocY&feature=related





quadratic formula (but no complex roots)

http://www.purplemath.com/modules/quadform.htm





http://www.purplemath.com/modules/exponent5.htm





http://www.youtube.com/watch?v=hclSMThq8yE





http://www.purplemath.com/modules/fcnnot.htm

4B Circles

Central, inscribed tangential, and exterior angles

http://www.cut-the-knot.org/Curriculum/Geometry/InscribedAngle.shtml

http://www.mathwarehouse.com/geometry/circle/inscribed-angle.html

http://mathworld.wolfram.com/InscribedAngle.html

http://www.clarku.edu/~djoyce/trig/tangents.html

http://www.mathsisfun.com/geometry/exterior-angles.html



Power of a point (chords, secants, tangents)

http://www.mathwarehouse.com/geometry/circle/

this is a good site!!



of two circles

http://wapedia.mobi/en/Tangent_lines_to_circles



Intercepted arcs

http://www.mathopenref.com/arcintercepted.html



Area of circles, sectors, circular segments

http://www.mathwords.com/a/area_sector_circle.htm

http://www.mathopenref.com/segmentarea.html





Cylinders, cones & spheres (including volume and surface area)

http://staff.argyll.epsb.ca/jreed/math9/strand3/3107.htm

4C Miscellaneous Topics



http://www.regentsprep.org/Regents/math/algtrig/ATP3/Recursive.htm

http://www.youtube.com/watch?v=DB316v0VgMM



: partial sums, formulas for 1+2+...n, 12+22+...n2, 13+23+...n3

http://www.physicsforums.com/showthread.php?t=428962



Binomial Theorem

http://math.about.com/library/blfactorials.htm

http://www.purplemath.com/modules/binomial.htm

http://www.youtube.com/watch?v=1pSD8cYyqUo

4D Analytic Geometry of the Conic Sections



totes

-min for parabolas

5A Puzzle Problems (20 minutes)



-min problems not requiring calculus

n "brain-teaser" type books

5B Congruence and Similarity



Ratio and proportion

http://www.mathleague.com/help/ratio/ratio.htm





Segments intercepted by parallel lines

http://www.mathwarehouse.com/geometry/similar/triangles/side-splitter-theorem.php





Identification of similar/congruent figures

http://www.mathleague.com/help/geometry/coordinates.htm





Ratios of areas and volumes

http://www.icoachmath.com/(S(dlcm0br1hlulik450avidi55))/solvedexample/Areas-and-Volumes-of-Similar-

SolidsGeometry-and-Spatial-Sense---Measurement-of-Solids_cstlqvXJKXAXKDGMXGKDKF.html





Elementary trigonometric ratios

http://www.algebralab.org/lessons/lesson.aspx?file=trigonometry_trigsincostan.xml

5C Counting and Probability





http://www.mathsisfun.com/combinatorics/combinations-permutations.html







http://www.youtube.com/watch?v=M8rfdM5Qk0g









5D Variations of Problems appearing on the previous year’s AMC 12 (contest A)